Hirofumi Izuhara, Shunusuke Kobayashi. An instability framework of Hopf-Turing-Turing singularity in 2-component reaction-diffusion systems. Japan Journal of Industrial and Applied Mathematics. 2024
Shunsuke Kobayashi, Shigetoshi Yazaki. Convergence of a Finite Difference Scheme for a Flame/Smoldering-Front Evolution Equation and Its Application to Wavenumber Selection. Computational Methods in Applied Mathematics. 2022. 23. 2. 545-563
Kol{\'a}?, M., Kobayashi, S., Uegata, Y., Yazaki, S., Bene?, M. Analysis of Kuramoto-Sivashinsky Model of Flame/Smoldering Front by Means of Curvature Driven Flow. Lecture Notes in Computational Science and Engineering. 2021. 139
Izuhara, H., Kobayashi, S. Spatio-temporal coexistence in the cross-diffusion competition system. Discrete and Continuous Dynamical Systems - Series S. 2021. 14. 3
Kobayashi, S., Sakamoto, T.O., Uegata, Y., Yazaki, S. A time-periodic oscillatory hexagonal solution in a 2-dimensional integro-differential reaction-diffusion system. Hiroshima Mathematical Journal. 2020. 50. 2. 253-267
2019/03 - The 10th Taiwan-Japan Joint Workshop for Young Scholars in Applied Mathematics Excellent Research Award The existence of rotating wave of a flame/smoldering-front evolution equation